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Finding the Fourth Proportional to 148,965,696,003.15, 223,448,544,004.72 and 148,965,696,003.15

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Solution

The fourth proportional to 148,965,696,003.15, 223,448,544,004.72 and 148,965,696,003.15 is: 223,448,544,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,965,696,003.15 : 223,448,544,004.72 = 148,965,696,003.15 : x
  2. Step 2: Convert to fraction form
    148,965,696,003.15/223,448,544,004.72 = 148,965,696,003.15/x
  3. Step 3: Cross multiply
    148,965,696,003.15x = 223,448,544,004.72 × 148,965,696,003.15
  4. Step 4: Simplify right side
    148,965,696,003.15x = 33,286,167,878,553,602,883,584
  5. Step 5: Solve for x
    x = 33,286,167,878,553,602,883,584/148,965,696,003.15
  6. Step 6: Final answer
    x = 223,448,544,004.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.